I'm running my 45g without any mechanical or "biomedia" filtration but I have a sump with a zeovit reactor in it. Bare bottom too.
If you go filterless make sure you get a turkey baster and frequently (almost daily) blow off your rock. That'll let you siphon the detritus out once a week from the tank bottom. Running bare bottom when running filterless too helps if you don't mind the bare bottom look.
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Everything I put in my tank is fully dependant on me.
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